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Table Of Contents
Causal Inference with Bayesian Networks
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We covered several topics on probability and Bayes’ theorem that set the foundation for the following chapters on Bayesian networks. Let us summarize the takeaway points of this chapter.
A probability is a measure of the uncertainty of events that are subsets in a sample space. The logical structure of a probability measure, founded on three Kolmogorov axioms, is not just a theoretical construct. It’s a powerful tool that helps us understand and solve real-world problems. These axioms state that the probability of an event is a non-negative number, the event that spans the entire sample space has probability 1, and the probability of the union of n sequence of pairwise disjoint events is the sum of the probabilities of the n events. We asserted various formulas as properties that follow from the probability axioms. The assertions derive the probability of compound events represented by Boolean logic, such as negation, conjunction, and disjunction, corresponding...